Concepedia

Boundary behavior and interior Hölder regularity of the solution to nonlinear stochastic partial differential equation driven by space-time white noise

Beom-Seok Han, Kyeong-Hun Kim

Journal of Differential Equations · 2020 · 14 citations · 13 references

Concepts

Natural SciencesMathematicsPhysicsDifferential EquationsStochastic ModelingStochastic ProcessesBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsStochastic CalculusStochastic Differential EquationsWeak FormulationBoundary PhenomenaBoundary Value Problems For Stochastic Differential EquationsDiffusion EquationStochastic Partial Differential EquationsStrong SolutionsWeak SolutionsWhite Noise

References

13

Stochastic integrals for spde’s: A comparison

Robert C. Dalang, Lluís Quer-Sardanyons · Expositiones Mathematicae · 2010 · 155 citations · Full text

Engineering, Mathematics, Probability Theory +13

Weighted sobolev spaces and laplace's equation and the heat equations in a half space

Communications in Partial Differential Equations · 1999 · 84 citations

Natural Sciences, Physics, Heat Transfer +11

On The Sobolev Space Theory of Parabolic and Elliptic Equations in<i>C</i><sup>1</sup>Domains

Kyeong-Hun Kim · SIAM Journal on Mathematical Analysis · 2004 · 80 citations

Natural Sciences, Mathematics, Differential Equations +16

Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations

Sergey V. Lototsky · Methods and Applications of Analysis · 2000 · 76 citations · Full text

Natural Sciences, Computational Engineering, Differential Equations +11

Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: the white noise case

Leonid Mytnik, Edwin Perkins · Probability Theory and Related Fields · 2009 · 72 citations · Full text

Engineering, Mechanical Engineering, Stochastic Modeling +14